DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

DOI10.1017/S1474748015000080zbMath1390.12006arXiv1310.1289OpenAlexW3123629976MaRDI QIDQ2978874

Lucia Di Vizio, Michael Wibmer, Charlotte Hardouin

Publication date: 2 May 2017

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1289

zbMATH Keywords

algebraic differential equationsGalois theorydifference algebradiscrete isomonodromy

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20) Hypergeometric functions (33C99) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Difference algebra (12H10)

Related Items (6)

Torsors for difference algebraic groups ⋮ Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Difference Galois theory of linear differential equations ⋮ Almost-simple affine difference algebraic groups ⋮ Algebraic groups as difference Galois groups of linear differential equations ⋮ Functional relations for solutions of \(q\)-difference equations

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